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Title: Bootstrapping the O(N ) vector models

Abstract

We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the $$\phi_i \times \phi_j$$ OPE, where $$\phi_i$$ is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.

Authors:
 [1];  [1];  [2]
  1. Yale Univ., New Haven, CT (United States)
  2. Inst. for Advanced Study, Princeton, NJ (United States)
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1599107
Grant/Contract Number:  
SC0009988
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 6; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kos, Filip, Poland, David, and Simmons-Duffin, David. Bootstrapping the O(N ) vector models. United States: N. p., 2014. Web. doi:10.1007/jhep06(2014)091.
Kos, Filip, Poland, David, & Simmons-Duffin, David. Bootstrapping the O(N ) vector models. United States. doi:10.1007/jhep06(2014)091.
Kos, Filip, Poland, David, and Simmons-Duffin, David. Mon . "Bootstrapping the O(N ) vector models". United States. doi:10.1007/jhep06(2014)091. https://www.osti.gov/servlets/purl/1599107.
@article{osti_1599107,
title = {Bootstrapping the O(N ) vector models},
author = {Kos, Filip and Poland, David and Simmons-Duffin, David},
abstractNote = {We study the conformal bootstrap for 3D CFTs with O(N) global symmetry. We obtain rigorous upper bounds on the scaling dimensions of the first O(N) singlet and symmetric tensor operators appearing in the $\phi_i \times \phi_j$ OPE, where $\phi_i$ is a fundamental of O(N). Comparing these bounds to previous determinations of critical exponents in the O(N) vector models, we find strong numerical evidence that the O(N) vector models saturate the bootstrap constraints at all values of N. We also compute general lower bounds on the central charge, giving numerical predictions for the values realized in the O(N) vector models. We compare our predictions to previous computations in the 1/N expansion, finding precise agreement at large values of N.},
doi = {10.1007/jhep06(2014)091},
journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 6,
volume = 2014,
place = {United States},
year = {2014},
month = {6}
}

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Cited by: 148 works
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    Works referencing / citing this record:

    Conformal Invariance and Vector Operators in the O(N) Model
    journal, October 2019

    • De Polsi, Gonzalo; Tissier, Matthieu; Wschebor, Nicolás
    • Journal of Statistical Physics, Vol. 177, Issue 6
    • DOI: 10.1007/s10955-019-02411-3